One problem related to engine belts and pulleys has been reported for the 1999 Dodge Neon. The most recently reported issues are listed below.
Head gasket: took the 1999 Dodge Neon to a mechanic after express oil noticed an oil leak. I always have oil changed every 3000 miles. The mechanic told me that I had a warped head gasket and would have to be replaced. The car doesn't even have 60,000 miles on it. I have read numerous complaints on this and wonder why Dodge will not accept responsibility and recall? my bill ended up being $2000 because they also needed to replace the timing belt which shouldn't have to be replaced until after 90k miles.